code: def decompose(expr, separate=False):
      """Decomposes an input polynomial into homogeneous ones of
      smaller or equal degree.
  
      Explanation
      ===========
  
      Returns a dictionary with keys as the degree of the smaller
      constituting polynomials. Values are the constituting polynomials.
  
      Parameters
      ==========
  
      expr : Expr
          Polynomial(SymPy expression).
      separate : bool
          If True then simply return a list of the constituent monomials
          If not then break up the polynomial into constituent homogeneous
          polynomials.
  
      Examples
      ========
  
      >>> from sympy.abc import x, y
      >>> from sympy.integrals.intpoly import decompose
      >>> decompose(x**2 + x*y + x + y + x**3*y**2 + y**5)
      {1: x + y, 2: x**2 + x*y, 5: x**3*y**2 + y**5}
      >>> decompose(x**2 + x*y + x + y + x**3*y**2 + y**5, True)
      {x, x**2, y, y**5, x*y, x**3*y**2}
      """
      poly_dict = {}
  
      if isinstance(expr, Expr) and not expr.is_number:
          if expr.is_Symbol:
              poly_dict[1] = expr
          elif expr.is_Add:
              symbols = expr.atoms(Symbol)
              degrees = [
                  (sum(degree_list(monom, *symbols)), monom)
                  for monom in expr.args
              ]
              if separate:
                  return {monom[1] for monom in degrees}
              else:
                  for monom in degrees:
                      degree, term = monom
                      if poly_dict.get(degree):
                          poly_dict[degree] += term
                      else:
                          poly_dict[degree] = term
          elif expr.is_Pow:
              _, degree = expr.args
              poly_dict[degree] = expr
          else:  # Now expr can only be of `Mul` type
              degree = 0
              for term in expr.args:
                  term_type = len(term.args)
                  if term_type == 0 and term.is_Symbol:
                      degree += 1
                  elif term_type == 2:
                      degree += term.args[1]
              poly_dict[degree] = expr
      else:
          poly_dict[0] = expr
  
      if separate:
          return set(poly_dict.values())
      return poly_dict
  
imports: from functools import cmp_to_key
  from sympy.abc import x, y, z
  from sympy.core import S, diff, Expr, Symbol
  from sympy.core.sympify import _sympify
  from sympy.geometry import Segment2D, Polygon, Point, Point2D
  from sympy.polys.polytools import LC, gcd_list, degree_list, Poly
  from sympy.simplify.simplify import nsimplify
label_desc: Use image node_id 17 for calling a global function with example usage: decompose(expr, separate) and returns: poly_dict, set, unknown